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Functional equation for $GL(3)\times GL(2)\times GL(1)$ L-functions

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#analytic-number-theory #modular-forms #automorphic-forms #langlands-program
76
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Whittaker model equation

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#functional-analysis #number-theory #representation-theory #automorphic-forms
109
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Does Weil's converse theorem holds for weight 1?

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#number-theory #algebraic-number-theory #modular-forms #automorphic-forms
43
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Definition of weight $k$ Laplacian

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#automorphic-forms
79
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Supercuspidal representation of $\mathrm{GL}_{2}$ over finite field

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#number-theory #finite-groups #representation-theory #automorphic-forms
152
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Steinberg representation for $\mathrm{GL}(2)$ is irreducible

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#representation-theory #automorphic-forms
45
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Classification of $(\mathfrak{g},K)$-module of $\mathrm{GL}(2, \mathbb{R})$

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#representation-theory #automorphic-forms
243
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Whittaker model for $\mathrm{GL}(2, \mathbb{R})$

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#representation-theory #automorphic-forms
53
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Descent for admissible representations of algebraic groups over local fields

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#automorphic-forms #langlands-program
98
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Asymptotic's for Fourier coefficients of $GL(3)$ Maass forms

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#analytic-number-theory #modular-forms #automorphic-forms #l-functions #langlands-program
190
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Application of Ngo's fundamental lemma

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#automorphic-forms
169
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Test vector for local zeta integral with ramified character

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#number-theory #modular-forms #automorphic-forms #l-functions
65
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Classification of (finite dimensional) admissible representations of $F^{\times} = \mathrm{GL}(1, F)$.

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#number-theory #representation-theory #p-adic-number-theory #automorphic-forms
577
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The Laplacian operator is invariant to $SL_2(\mathbb{R})$

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#complex-analysis #laplace-transform #automorphic-forms
241
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Why is a modular form an automorphic form?

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#automorphic-forms

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